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2121013311220 = 225611738535501
BaseRepresentation
bin11110110111010110001…
…111101011011011110100
321111202201001202000010201
4132313112033223123310
5234222313401424340
64302214032130244
7306144454451416
oct36672617533364
97452631660121
102121013311220
117485757a06a1
122a3097096984
1312501a66967b
147492c60a9b6
153a28bde379a
hex1edd63eb6f4

2121013311220 has 24 divisors (see below), whose sum is σ = 4527146447208. Its totient is φ = 834497040000.

The previous prime is 2121013311167. The next prime is 2121013311227. The reversal of 2121013311220 is 221133101212.

It can be written as a sum of positive squares in 4 ways, for example, as 39837764836 + 2081175546384 = 199594^2 + 1442628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121013311227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 869266531 + ... + 869268970.

It is an arithmetic number, because the mean of its divisors is an integer number (188631101967).

Almost surely, 22121013311220 is an apocalyptic number.

2121013311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121013311220 is an abundant number, since it is smaller than the sum of its proper divisors (2406133135988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121013311220 is a wasteful number, since it uses less digits than its factorization.

2121013311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738535571 (or 1738535569 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2121013311220 its reverse (221133101212), we get a palindrome (2342146412432).

The spelling of 2121013311220 in words is "two trillion, one hundred twenty-one billion, thirteen million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1738535501 3477071002 6954142004 8692677505 17385355010 34770710020 106050665561 212101331122 424202662244 530253327805 1060506655610 2121013311220